135426065514336 has 144 divisors (see below), whose sum is σ = 385499788337664. Its totient is φ = 45097277651712.

The previous prime is 135426065514307. The next prime is 135426065514409. The reversal of 135426065514336 is 633415560624531.

135426065514336 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 2 + 60 + 65 + 514 + 3 + 3 + 6 = 666.

135426065514336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1205842761 + ... + 1205955063.

It is an arithmetic number, because the mean of its divisors is an integer number (2677081863456).

Almost surely, 2^{135426065514336} is an apocalyptic number.

135426065514336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135426065514336 is an abundant number, since it is smaller than the sum of its proper divisors (250073722823328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135426065514336 is a wasteful number, since it uses less digits than its factorization.

135426065514336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116433 (or 116422 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 135426065514336 in words is "one hundred thirty-five trillion, four hundred twenty-six billion, sixty-five million, five hundred fourteen thousand, three hundred thirty-six".